SOLUTION: if (3-x)+(6)+(7-5x) is a geometric series, find the two possible values for x, the common ratio and the sum of GP

Question 1005957: if (3-x)+(6)+(7-5x) is a geometric series, find the two possible values for x, the common ratio and the sum of GP
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
The three TERMS for the series are shown.
Successive ratios must be equal.

, the successive ratios

General solution formula for a quadratic equation gives

OR

RELATED QUESTIONS
If (3-x)+(6)+(7-5x) is a geometric series, find two possible values for a) x b) the... (answered by mananth)

(X-3)+(6)+(x-7) is a geometric series calculate ; a) The value if x b) the common... (answered by ikleyn)

The sum to infinity of a GP is twice the sum of the first two terms. Find possible... (answered by greenestamps)

The sum to infinity of a geometric series is 8, whereas the sum of the second and third... (answered by greenestamps)

show that the following series converges absolutely for |x|<1 and compute the sum.... (answered by KMST)

The sum of the second and third terms of a geometric progression is six times the fourth... (answered by ikleyn)

given that the sum of the first two terms of a geometric progression is 90 and the sum to (answered by ikleyn)

Find the sum of the first 8 terms of a geometric series if the first term is 10 and the... (answered by ikleyn)

I can't seem to figure out how to start with this problem... The sum of the first two... (answered by rothauserc)